Jeev, actually now that I'm looking at it, I don't exactly see why I am losing redundancy (safety category) by cascading the relays the way that I have. Had I not cascaded them, the terminal 1 of the 3TK2841 would still be directly connected to +24V, just as it is now. And cascading it through a safety relay with internal redundancy makes a failure much more unlikely than having run it directly through a contactor. Could you possibly elaborate on this? Thanks!
Also, it seems for cross-circuit detection to be active, Y35 should NOT be connected to 24V. So it is currently wired for cross-circuit protection.
How many wires are running between the 2 safety relays? Cascade input terminal 1 on the 3TK2841 is a standard +24V signal, which is not driven by an OSSD, a pulse, or dynamic. That means that any +24V short between 3TK2841.1 and 3TK2825.14 will render the cascade bypassed. Terminal 14 on the 3TK2825 is a dry contact, which means the short will go undetected on both systems. The Sub E-Stops will still work for the Sub Panels, however your Main E-Stop will now only work for the Main Panel. This is a single system fault that has gone undetected, and caused the failure of part of your safety function. Remember that the overall system is only as strong as the weakest part.
From a design point of view, I would supply the Sub panel PLCs with a constant phase, and supply the VFDs with the safe phase. Dropping PLCs when you hit an E-Stop is not great control behaviour, unless the system is specifically designed to operate like this, or you want to remove all phase power from the Sub Panels. I also notice that both the VFD phases and Safe Stops are being used on the drives. Often it is one or the other, and some drives, for example SEW MoviDrives, can fault if you use both.
There are a quite a few options for you with the hardware you have, but these 2 are the simple ones (In all cases keeping the cascaded input will work):
1) Put 4 NC contacts on the Main E-Stop. 2 contacts for the Main Relay and 2 Contacts in series with the Sub E-Stop on the Sub Relay. This isn't industry standard, and piling contacts on E-Stops may not be recommended by the manufacturers.
2) Run the single phase through contacts or auxiliaries on K3 and K4 as well as K1 and K2. The only comment I have here is that I don't like mixing voltage levels on contactors. Usually I will put phases through main contacts, and +24V DC through auxiliaries.
There are a few more flavours, but these will be the simplest to implement, troubleshoot, and teach.
When you are teaching people, you need them to understand that this design still ignores the cascaded Sub E-Stops, and the relay that has no cross-channel detection. Actually, absolutely everything discussed in this thread are good things for people who are learning to think about, whether it's a "Do", or a "Don't", or even a "Consider This". Sorry I haven't gotten back with an updated drawing, I've been flat out the last 2 days. I will get back on it when I'm free!